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Lower bounds on the maximum dimension of a simple module in characteristic p

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 نشر من قبل Geoffrey Robinson
 تاريخ النشر 2020
  مجال البحث
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We obtain lower bounds for the maximum dimension of a simple FG-module, where G is a finite group and F is an algebraically closed field of characteristic p. The bounds are described in terms of properties of p-subgroups of G. When p is 2 or p is a Mersenne prime, the bounds take a different form, due to exceptions which arise for such primes.



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